Thermal transport through a mesoscopic weak link

Patton, Kelly R.; Geller, Michael R.

doi:10.1103/physrevb.64.155320

Cited by 58 publications

(73 citation statements)

References 15 publications

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“…9, where Si is treated as an isotropic elastic continuum with longitudinal and transverse sound velocities and mass density ρ = 2.3 g cm −3 . In the final section of this paper, where we compare our results to the experiment of Ref.…”

Section: Resultsmentioning

confidence: 99%

Phonons in a nanoparticle mechanically coupled to a substrate

Patton

Geller

2003

Phys. Rev. B

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The discrete nature of the vibrational modes of an isolated nanometer-scale solid dramatically modifies its low-energy electron and phonon dynamics from that of a bulk crystal. However, nanocrystals are usually coupled-even if only weakly-to an environment consisting of other nanocrystals, a support matrix, or a solid substrate, and this environmental interaction will modify the vibrational properties at low frequencies. In this paper we investigate the modification of the vibrational modes of an insulating spherical nanoparticle caused by a weak mechanical coupling to a semi-infinite substrate. The phonons of the bulk substrate act as a bath of harmonic oscillators, and the coupling to this reservoir shifts and broadens the nanoparticle's modes. The vibrational density of states in the nanoparticle is obtained by solving the Dyson equation for the phonon propagator, and we show that environmental interaction is especially important at low frequencies. As a probe of the modified phonon spectrum, we consider nonradiative energy relaxation of a localized electronic impurity state in the nanoparticle, for which good agreement with experiment is found.

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Section: Resultsmentioning

confidence: 99%

Phonons in a nanoparticle mechanically coupled to a substrate

Patton

Geller

2003

Phys. Rev. B

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“…9,[12][13][14] Cross and Lifshitz 13 have calculated the frequencydependent acoustic phonon transmission probability T between a semi-infinite quantum wire of rectangular cross section and a thin plate with the same thickness as the wire, and find that T ϰ 1/2 in the low-frequency limit. In Ref.…”

Section: Introductionmentioning

confidence: 98%

Mesoscopic phonon transmission through a nanowire-bulk contact

Chang

Geller

2005

Phys. Rev. B

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We calculate the frequency-dependent mesoscopic acoustic phonon transmission probability through the abrupt junction between a semi-infinite, one-dimensional cylindrical quantum wire and a three-dimensional bulk insulator, using a perturbative technique that is valid at low frequency. The system is described using elasticity theory, and traction-free boundary conditions are applied to all free surfaces. In the low-frequency limit the transmission probability vanishes as 2 , the transport being dominated by the longitudinal channel, which produces a monopole source of elastic radiation at the surface of the bulk solid. The thermal conductance between an equilibrated wire nonadiabatically coupled to a bulk insulator should therefore vanish with temperature as T 3 .

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“…In balance with the process of heat dissipation-conduction of thermal energy away from the junction-this has important implications on the issue of junction stability. These processes have attracted much experimental 1-6 and theoretical [7][8][9][10][11][12][13][14][15][16] attention.…”

Section: Introductionmentioning

confidence: 99%

Heat conduction in molecular transport junctions

2007

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Heating and heat conduction in molecular junctions are considered within a general NEGF formalism. We obtain a unified description of heating in current carrying molecular junctions as well as the electron and phonon contributions to the thermal flux, including their mutual influence. Ways to calculate these contributions, their relative importance and ambiguities in their definitions are discussed. A general expression for the phonon thermal flux is derived and used in a new "measuring technique", to define and quantify 'local temperature' in nonequilibrium systems. Superiority of this measuring technique over the usual approach that defines effective temperature using the equilibrium phonon distribution is demonstrated. Simple bridge models are used to illustrate the general approach, with numerical examples.Comment: 31 pages, 12 figure

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Thermal transport through a mesoscopic weak link

Cited by 58 publications

References 15 publications

Phonons in a nanoparticle mechanically coupled to a substrate

Phonons in a nanoparticle mechanically coupled to a substrate

Mesoscopic phonon transmission through a nanowire-bulk contact

Heat conduction in molecular transport junctions

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